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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET665+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6Q4vsXLiWc true

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:52:37 PM UTC 2025

% Result   : Theorem 54.31s 8.34s
% Output   : Refutation 54.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   66 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  155 (   4 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  687 (  65   ~;  56   |;   4   &; 533   @)
%                                         (   4 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :   93 (   0   ^;  93   !;   0   ?;  93   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subset_type,type,
    subset: $i > $i > $o ).

thf(member_type,type,
    member: $i > $i > $o ).

thf(cross_product_type,type,
    cross_product: $i > $i > $i ).

thf(relation_type_type,type,
    relation_type: $i > $i > $i ).

thf(relation_like_type,type,
    relation_like: $i > $o ).

thf(binary_relation_type_type,type,
    binary_relation_type: $i ).

thf(identity_relation_of_type,type,
    identity_relation_of: $i > $i ).

thf(ilf_type_type,type,
    ilf_type: $i > $i > $o ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(set_type_type,type,
    set_type: $i ).

thf(subset_type_type,type,
    subset_type: $i > $i ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(p11,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( ( ilf_type @ B @ binary_relation_type )
      <=> ( ( relation_like @ B )
          & ( ilf_type @ B @ set_type ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( relation_like @ X0 )
      | ~ ( ilf_type @ X0 @ set_type )
      | ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p11]) ).

thf(zip_derived_cl657,plain,
    ! [X0: $i] :
      ( ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( ilf_type @ X0 @ set_type )
      | ~ ( relation_like @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28]) ).

thf(p27,axiom,
    ! [B: $i] : ( ilf_type @ B @ set_type ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl658,plain,
    ! [X0: $i] :
      ( ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( relation_like @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl60]) ).

thf(p1,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ binary_relation_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ binary_relation_type )
         => ( ( subset @ B @ C )
          <=> ! [D: $i] :
                ( ( ilf_type @ D @ set_type )
               => ! [E: $i] :
                    ( ( ilf_type @ E @ set_type )
                   => ( ( member @ ( ordered_pair @ D @ E ) @ B )
                     => ( member @ ( ordered_pair @ D @ E ) @ C ) ) ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
      | ( subset @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ binary_relation_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(prove_relset_1_28,conjecture,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( subset @ ( identity_relation_of @ B ) @ ( cross_product @ B @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ilf_type @ B @ set_type )
       => ( subset @ ( identity_relation_of @ B ) @ ( cross_product @ B @ B ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_28]) ).

thf(zip_derived_cl62,plain,
    ~ ( subset @ ( identity_relation_of @ sk__14 ) @ ( cross_product @ sk__14 @ sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl578,plain,
    ( ~ ( ilf_type @ ( identity_relation_of @ sk__14 ) @ binary_relation_type )
    | ( member @ ( ordered_pair @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ ( sk__1 @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) ) @ ( identity_relation_of @ sk__14 ) )
    | ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl62]) ).

thf(p8,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( ilf_type @ ( identity_relation_of @ B ) @ binary_relation_type ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( ilf_type @ ( identity_relation_of @ X0 ) @ binary_relation_type )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p8]) ).

thf(zip_derived_cl60_001,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl644,plain,
    ! [X0: $i] : ( ilf_type @ ( identity_relation_of @ X0 ) @ binary_relation_type ),
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl60]) ).

thf(zip_derived_cl1276,plain,
    ( ( member @ ( ordered_pair @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ ( sk__1 @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) ) @ ( identity_relation_of @ sk__14 ) )
    | ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type ) ),
    inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl644]) ).

thf(p2,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ( ( member @ ( ordered_pair @ C @ D ) @ ( identity_relation_of @ B ) )
              <=> ( ( member @ C @ B )
                  & ( C = D ) ) ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ ( identity_relation_of @ X2 ) )
      | ( X0 = X1 )
      | ~ ( ilf_type @ X1 @ set_type )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(zip_derived_cl60_002,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_003,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_004,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl654,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ ( identity_relation_of @ X2 ) )
      | ( X0 = X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl60,zip_derived_cl60,zip_derived_cl60]) ).

thf(zip_derived_cl1293,plain,
    ( ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type )
    | ( ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) )
      = ( sk__1 @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1276,zip_derived_cl654]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ~ ( member @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X0 )
      | ( subset @ X1 @ X0 )
      | ~ ( ilf_type @ X1 @ binary_relation_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl62_005,plain,
    ~ ( subset @ ( identity_relation_of @ sk__14 ) @ ( cross_product @ sk__14 @ sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl575,plain,
    ( ~ ( ilf_type @ ( identity_relation_of @ sk__14 ) @ binary_relation_type )
    | ~ ( member @ ( ordered_pair @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ ( sk__1 @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) ) @ ( cross_product @ sk__14 @ sk__14 ) )
    | ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl62]) ).

thf(zip_derived_cl644_006,plain,
    ! [X0: $i] : ( ilf_type @ ( identity_relation_of @ X0 ) @ binary_relation_type ),
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl60]) ).

thf(zip_derived_cl1108,plain,
    ( ~ ( member @ ( ordered_pair @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ ( sk__1 @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) ) @ ( cross_product @ sk__14 @ sk__14 ) )
    | ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type ) ),
    inference(demod,[status(thm)],[zip_derived_cl575,zip_derived_cl644]) ).

thf(p3,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ set_type )
                 => ( ( member @ ( ordered_pair @ B @ C ) @ ( cross_product @ D @ E ) )
                  <=> ( ( member @ B @ D )
                      & ( member @ C @ E ) ) ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type )
      | ~ ( member @ X2 @ X3 )
      | ~ ( member @ X0 @ X1 )
      | ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
      | ~ ( ilf_type @ X3 @ set_type )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf(zip_derived_cl60_007,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_008,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_009,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_010,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X2 @ X3 )
      | ~ ( member @ X0 @ X1 )
      | ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl60,zip_derived_cl60,zip_derived_cl60,zip_derived_cl60]) ).

thf(zip_derived_cl1110,plain,
    ( ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type )
    | ~ ( member @ ( sk__1 @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ sk__14 )
    | ~ ( member @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ sk__14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1108,zip_derived_cl696]) ).

thf(zip_derived_cl38948,plain,
    ( ~ ( member @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ sk__14 )
    | ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type )
    | ~ ( member @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ sk__14 )
    | ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1293,zip_derived_cl1110]) ).

thf(zip_derived_cl38959,plain,
    ( ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type )
    | ~ ( member @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ sk__14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl38948]) ).

thf(zip_derived_cl1276_011,plain,
    ( ( member @ ( ordered_pair @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ ( sk__1 @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) ) @ ( identity_relation_of @ sk__14 ) )
    | ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type ) ),
    inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl644]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ ( identity_relation_of @ X2 ) )
      | ( member @ X0 @ X2 )
      | ~ ( ilf_type @ X1 @ set_type )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(zip_derived_cl60_012,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_013,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_014,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl643,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ ( ordered_pair @ X0 @ X1 ) @ ( identity_relation_of @ X2 ) )
      | ( member @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl60,zip_derived_cl60,zip_derived_cl60]) ).

thf(zip_derived_cl1292,plain,
    ( ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type )
    | ( member @ ( sk_ @ ( cross_product @ sk__14 @ sk__14 ) @ ( identity_relation_of @ sk__14 ) ) @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1276,zip_derived_cl643]) ).

thf(zip_derived_cl38965,plain,
    ~ ( ilf_type @ ( cross_product @ sk__14 @ sk__14 ) @ binary_relation_type ),
    inference(clc,[status(thm)],[zip_derived_cl38959,zip_derived_cl1292]) ).

thf(zip_derived_cl38967,plain,
    ~ ( relation_like @ ( cross_product @ sk__14 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl658,zip_derived_cl38965]) ).

thf(p13,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ! [D: $i] :
                ( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
               => ( ilf_type @ D @ ( relation_type @ B @ C ) ) )
            & ! [E: $i] :
                ( ( ilf_type @ E @ ( relation_type @ B @ C ) )
               => ( ilf_type @ E @ ( subset_type @ ( cross_product @ B @ C ) ) ) ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p13]) ).

thf(zip_derived_cl60_015,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_016,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl759,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl60,zip_derived_cl60]) ).

thf(p4,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ( ilf_type @ ( cross_product @ B @ C ) @ ( relation_type @ B @ C ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( ilf_type @ ( cross_product @ X1 @ X0 ) @ ( relation_type @ X1 @ X0 ) )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p4]) ).

thf(zip_derived_cl60_017,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_018,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl707,plain,
    ! [X0: $i,X1: $i] : ( ilf_type @ ( cross_product @ X1 @ X0 ) @ ( relation_type @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl60,zip_derived_cl60]) ).

thf(zip_derived_cl760,plain,
    ! [X0: $i,X1: $i] : ( ilf_type @ ( cross_product @ X1 @ X0 ) @ ( subset_type @ ( cross_product @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl759,zip_derived_cl707]) ).

thf(p20,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
             => ( relation_like @ D ) ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( relation_like @ X1 )
      | ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p20]) ).

thf(zip_derived_cl60_019,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl60_020,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( relation_like @ X1 )
      | ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl60,zip_derived_cl60]) ).

thf(zip_derived_cl838,plain,
    ! [X0: $i,X1: $i] : ( relation_like @ ( cross_product @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl760,zip_derived_cl662]) ).

thf(zip_derived_cl38968,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl38967,zip_derived_cl838]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET665+3 : TPTP v9.2.0. Released v2.2.0.
% 0.10/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6Q4vsXLiWc true
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed Oct  1 13:23:23 EDT 2025
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.30  % Number of cores: 8
% 0.15/0.31  % Python version: Python 3.6.8
% 0.15/0.31  % Running in FO mode
% 0.15/0.57  % Total configuration time : 435
% 0.15/0.57  % Estimated wc time : 1092
% 0.15/0.57  % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.64  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.65  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.65  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.66  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.66  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.66  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.66  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 54.31/8.34  % Solved by fo/fo3_bce.sh.
% 54.31/8.34  % BCE start: 63
% 54.31/8.34  % BCE eliminated: 0
% 54.31/8.34  % PE start: 63
% 54.31/8.34  logic: eq
% 54.31/8.34  % PE eliminated: -18
% 54.31/8.34  % done 2639 iterations in 7.656s
% 54.31/8.34  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 54.31/8.34  % SZS output start Refutation
% See solution above
% 54.31/8.34  
% 54.31/8.34  
% 54.31/8.34  % Terminating...
% 54.81/8.40  % Runner terminated.
% 54.81/8.41  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------